On the order of iterated defect correction. An algebraic proof

DOI10.1007/BF01432878zbMath0414.65045OpenAlexW380134911MaRDI QIDQ599486

Ernst Hairer

Publication date: 1978

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132529

zbMATH Keywords

ordinary differential equationsinitial value problemsorderRunge-Kutta methodsnumerical solutioniterated defect correctionalgebraic proof

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Higher-order additive Runge-Kutta schemes for ordinary differential equations, Interpolation for variable order, Runge-Kutta methods, Numerical investigations on global error estimation for ordinary differential equations, A fast and stable algorithm for linear parabolic partial differential equations, Implementation of defect correction methods for stiff differential equations, A hybrid algorithm based on optimal quadratic spline collocation and parareal deferred correction for parabolic PDEs

Cites Work

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• Multistep-multistage-multiderivative methods for ordinary differential equations
• On the Butcher group and general multi-value methods
• On the estimation of errors propagated in the numerical integration of ordinary differential equations